Fluid Dynamics

, Volume 31, Issue 6, pp 802–813 | Cite as

Translational motion of a cylinder below the free surface of a fluid

  • O. M. Kiselev
  • O. V. Troepol'skaya


A method of solving the problem of the translational motion of a cylinder of given shape below the free surface of an infinitely deep heavy fluid is developed. As distinct from existing techniques, the method permits the obtaining of a solution which becomes exact as the Froude number increases without bound. The solution of the problem of the motion of a circular cylinder is considered in detail. Suggestions are made concerning the characteristic properties of an exact solution of the general problem.


Exact Solution Free Surface Fluid Dynamics General Problem Characteristic Property 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    J. V. Wehausen and E. V. Laitone, “Surface waves,” in:Handbuch der Physik, Bd. 9, Springer, Berlin (1960), p. 446.Google Scholar
  2. 2.
    J. V. Wehausen, “The wave resistance of ships,” in:Advances in Applied Mechanics, Vol. 13, Acad. Press, New York, London (1973), p. 93.Google Scholar
  3. 3.
    Yu. A. Stepaniantz, I. V. Sturova, and É. V. Teodorovich, “Linear theory of the surface and internal wave generation,” in:Advances in Science and Engineering. All-Union Institute of Scientific and Technical Information. Fluid Mech. Series. Vol. 21 [in Russian], Moscow (1987), p. 93.Google Scholar
  4. 4.
    I. V. Sturova,Numerical Calculations in Problems of Plane Surface Wave Generation [in Russian], Preprint No. 5, Computer Center, Sib. Branch of the USSR Academy of Sciences, Krasnoyarsk (1990).Google Scholar
  5. 5.
    R. W. Yeung, “Numerical methods in free-surface flows,” in:Annual Review of Fluid Mechanics, Vol. 14, Annu. Revs. Inc., Palo Alto (1982), p. 395.Google Scholar
  6. 6.
    K. E. Afanas'ev, “Simulation of free boundaries in ideal fluid dynamics,” in:Hydrodynamics of Bounded Flows [in Russian], Chuvash. Univ. Press, Cheboksary (1988), p. 9.Google Scholar
  7. 7.
    H. Maruo and S. Owigara, “A method of computation for steady ship waves with non-linear free surface conditions,” in:Prep. Papers 4th Intern. Conf. on Numer. Ship Hydrodynamics, Washington (1985), p. 218.Google Scholar
  8. 8.
    H. J. Haussling and R. M. Coleman, “Finite-difference computations using boundary-fitted coordinates for free-surface potential flows generated by submerged bodies,” in:Proc. 2nd Intern. Conf. on Numer. Ship Hydrodynamics, Berkeley (1977), p. 221.Google Scholar
  9. 9.
    O. M. Kiselev, “A vortex below the free surface of a heavy liquid,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 45, 1968.Google Scholar
  10. 10.
    O. M. Kiselev, “Source below the free surface of a heavy liquid,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 87 (1969).Google Scholar
  11. 11.
    O. V. Troepol'skaya, “Heavy fluid flow past a circular cylinder,”Izv. Vuzov, Mat., No. 11, 94 (1969).Google Scholar
  12. 12.
    M. I. Gurevich,Theory of Ideal Fluid Jets [in Russian], Nauka, Moscow (1979).Google Scholar
  13. 13.
    Ch. W. Lenau and R. L. Street, “A non-linear theory for symmetric, supercavitating flow in a gravity field,”J. Fluid Mech.,21, 257 (1965).Google Scholar
  14. 14.
    L. N. Sretenskii,Theory of Fluid Wave Motion [in Russian], Nauka, Moscow (1977).Google Scholar
  15. 15.
    E. O. Tuck, “The effect of non-linearity at the free surface on flow past a submerged cylinder,”J. Fluid Mech.,22, 401 (1965).Google Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • O. M. Kiselev
  • O. V. Troepol'skaya

There are no affiliations available

Personalised recommendations